Families of affine planes: the existence of a cylinder

2000/07/19 by Shulim Kaliman, Mikhail Zaidenberg, Kaliman, Shulim +1 · 1 citation
Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #Geometric and Algebraic Topology #math.AG #msc:14R05 #msc:14R25

paper · pdf · doi:10.48550/arxiv.math/0007119

12p, LaTeX2e, tar

arxiv created 2000/07/20 · arxiv updated 2009/11/30

Abstract

Given a family of complex affine planes, we show that it is trivial over a Zariski open subset of the base. The proof relies upon a relative version of the contraction theorem.

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